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Finding the Fourth Proportional to 4,653.78, 6,984.12 and 2,901.36

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Solution

The fourth proportional to 4,653.78, 6,984.12 and 2,901.36 is: 4,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.78 : 6,984.12 = 2,901.36 : x
  2. Step 2: Convert to fraction form
    4,653.78/6,984.12 = 2,901.36/x
  3. Step 3: Cross multiply
    4,653.78x = 6,984.12 × 2,901.36
  4. Step 4: Simplify right side
    4,653.78x = 20,263,446.40
  5. Step 5: Solve for x
    x = 20,263,446.40/4,653.78
  6. Step 6: Final answer
    x = 4,354.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.